Get the answer to "Find the derivative. y=ex2+cos⁡x" - Plainmath

iohanetc

Answered question

2021-10-13

Find the derivative.

y = e^{\sqrt{x^{2} + \cos x}}

Answer & Explanation

Yusuf Keller

Skilled2021-10-14Added 90 answers

Step 1
To find derivative of

y = e^{\sqrt{x^{2} + \cos x}}

Step 2

y^{'} = e^{\sqrt{x^{2} + \cos x}} \times \frac{1}{2} {(\cos x + x^{2})}^{\frac{- 1}{2}} \times (- \sin x + 2 x)

= \frac{e^{\sqrt{x^{2} \cos x}} \times (2 x - \sin x)}{2 \sqrt{\cos x + x^{2}}}

.

Jeffrey Jordon

Expert2022-03-13Added 2605 answers

Answer is given below (on video)

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